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Finding the Fourth Proportional to 9,442.54, 14,162.07 and 4,375.54

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Solution

The fourth proportional to 9,442.54, 14,162.07 and 4,375.54 is: 6,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.54 : 14,162.07 = 4,375.54 : x
  2. Step 2: Convert to fraction form
    9,442.54/14,162.07 = 4,375.54/x
  3. Step 3: Cross multiply
    9,442.54x = 14,162.07 × 4,375.54
  4. Step 4: Simplify right side
    9,442.54x = 61,966,703.77
  5. Step 5: Solve for x
    x = 61,966,703.77/9,442.54
  6. Step 6: Final answer
    x = 6,562.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.